ISSN:
1432-2064
Keywords:
Key words:Large deviations
;
Interacting random processes
;
Statistical mechanics
;
Langevin dynamics
;
AMS Subject of Classification (1991): 60F10
;
60H10
;
60K35
;
82C44
;
82C31
;
82C22
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Summary. We study the asymptotic behaviour for both asymmetric and symmetric spin glass dynamics in a Sherrington-Kirkpatrick model as proposed by Sompolinsky-Zippelius. We prove, without any condition on time and temperature, averaged propagation of chaos results. Extending this result to replicated systems, we conclude that the law of a single spin converges to a non Markovian probability measure, in law with respect to the random interaction.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s004400050130
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